Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models
Numerical Analysis
2025-08-12 v1 Numerical Analysis
Abstract
The paper presents an in-depth exploration of the multinode Shepard interpolant on a regular rectangular grid, demonstrating its efficacy in reconstructing surfaces from DEM data. Additionally, we study the approximation order associated to this interpolant and present a detailed algorithm for reconstructing surfaces. Numerical tests showcase the effectiveness of the proposed algorithm.
Keywords
Cite
@article{arxiv.2508.07764,
title = {Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models},
author = {Domingo Barrera and Francesco Dell'Accio and Filomena Di Tommaso and Salah Eddargani and María José Ibáñez and Francesco Larosa and Federico Nudo and Juan F. Reinoso},
journal= {arXiv preprint arXiv:2508.07764},
year = {2025}
}